Veinott, Arthur F.
Overview
Works:  26 works in 84 publications in 1 language and 884 library holdings 

Genres:  Conference papers and proceedings Academic theses 
Roles:  Editor, Author, Other 
Classifications:  QA264, 519.92 
Publication Timeline
.
Most widely held works by
Arthur F Veinott
Mathematics of the decision sciences by
George B Dantzig(
Book
)
23 editions published between 1968 and 1970 in English and held by 454 WorldCat member libraries worldwide
23 editions published between 1968 and 1970 in English and held by 454 WorldCat member libraries worldwide
Mathematical studies in management science by
Arthur F Veinott(
Book
)
11 editions published in 1965 in English and held by 317 WorldCat member libraries worldwide
11 editions published in 1965 in English and held by 317 WorldCat member libraries worldwide
Mathematics of the decision sciences by Summer Seminar on Applied Mathematics(
Book
)
5 editions published between 1968 and 1970 in English and held by 28 WorldCat member libraries worldwide
5 editions published between 1968 and 1970 in English and held by 28 WorldCat member libraries worldwide
Mathematics of the decision sciences by
George B Dantzig(
Book
)
10 editions published between 1968 and 1970 in English and Undetermined and held by 20 WorldCat member libraries worldwide
10 editions published between 1968 and 1970 in English and Undetermined and held by 20 WorldCat member libraries worldwide
A property of sequential control processes by
Ralph E Strauch(
Book
)
1 edition published in 1966 in English and held by 16 WorldCat member libraries worldwide
This memorandum deals with discrete time stochastic control processes having a finite number of states and possible actions. If the process is in state i at time t and one makes decision d sub k, it moves to state j at time t + 1 with probability q sub ij(k). A rule R is a (possibly random) procedure for choosing a decision at each time t given the past up to time t. Each rule R determines a probability P sub R on the set of possible sample paths of the process. Derman (Annals Math. Stat., 35, 1964) has shown that, for criteria involving limiting average probabilities of visits to statedecision pairs, one needs only to consider initial randomizations of nonrandom stationary rules. It is shown that there is a rule which induces the same probability on the process as any initial randomization, hence nothing new is introduced by initial randomization. (Author)
1 edition published in 1966 in English and held by 16 WorldCat member libraries worldwide
This memorandum deals with discrete time stochastic control processes having a finite number of states and possible actions. If the process is in state i at time t and one makes decision d sub k, it moves to state j at time t + 1 with probability q sub ij(k). A rule R is a (possibly random) procedure for choosing a decision at each time t given the past up to time t. Each rule R determines a probability P sub R on the set of possible sample paths of the process. Derman (Annals Math. Stat., 35, 1964) has shown that, for criteria involving limiting average probabilities of visits to statedecision pairs, one needs only to consider initial randomizations of nonrandom stationary rules. It is shown that there is a rule which induces the same probability on the process as any initial randomization, hence nothing new is introduced by initial randomization. (Author)
Mathematics of the decision sciences(
Book
)
2 editions published in 1968 in Undetermined and English and held by 7 WorldCat member libraries worldwide
2 editions published in 1968 in Undetermined and English and held by 7 WorldCat member libraries worldwide
Mathematics of the decision sciences by Summer Seminar on the Mathematics of the Decision Sciences(
Book
)
2 editions published between 1968 and 1970 in English and held by 5 WorldCat member libraries worldwide
2 editions published between 1968 and 1970 in English and held by 5 WorldCat member libraries worldwide
Optimal capacity scheduling by
Arthur F Veinott(
Book
)
1 edition published in 1962 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1962 in English and held by 5 WorldCat member libraries worldwide
A multiproduct, dynamic, nonstationary inventory problem by
Arthur F Veinott(
Book
)
3 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide
The paper is concerned with a multiproduct dynamic nonstationary inventory problem in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has the following features. There is a general demand process with no stationarity or independence assumptions, partial or complete backlogging of unfilled demand, a fixed nonnegative delivery lag (which may be positive only under complete backlogging), a nonstationary linear ordering cost, a nonstationary holding and shortage cost function, discounting of future costs, and nonstationary restrictions like budget and storage limitations. The objective is to choose an ordering policy that minimizes the expected discounted costs over an infinite time horizon. Conditions are given that ensure that the base stock ordering policy is optimal and that the base stock levels in each period are easy to calculate. (Author)
3 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide
The paper is concerned with a multiproduct dynamic nonstationary inventory problem in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has the following features. There is a general demand process with no stationarity or independence assumptions, partial or complete backlogging of unfilled demand, a fixed nonnegative delivery lag (which may be positive only under complete backlogging), a nonstationary linear ordering cost, a nonstationary holding and shortage cost function, discounting of future costs, and nonstationary restrictions like budget and storage limitations. The objective is to choose an ordering policy that minimizes the expected discounted costs over an infinite time horizon. Conditions are given that ensure that the base stock ordering policy is optimal and that the base stock levels in each period are easy to calculate. (Author)
Computing optimal (s, S) inventory policies by
Arthur F Veinott(
)
3 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide
Mathematics of the decision sciences(
Book
)
1 edition published in 1970 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 3 WorldCat member libraries worldwide
A solution to a countable system of equations arising in Markovian decision processes by
Cyrus Derman(
Book
)
3 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
A countable system of equations arising in Markovian decision processes is studied. Conditions are given ensuring the existence and uniqueness of an explicit solution to the system. (Author)
3 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
A countable system of equations arising in Markovian decision processes is studied. Conditions are given ensuring the existence and uniqueness of an explicit solution to the system. (Author)
Optimal policy in a dynamic, single product, nonstationary inventory model with several demand classes by
Arthur F Veinott(
Book
)
2 editions published in 1965 in English and held by 2 WorldCat member libraries worldwide
A multiperiod single product nonstationary inventory problem is studied in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has the following features. There are several classes of demand for the product in each period. The demands in different periods are independent but not necessarily identically distributed. The cost structure is nonstationary with the ordering cost being proportional to the amount ordered. Conditions are given that ensure that the base stock ordering policy is optimal and that the base stock levels in each period are easy to calculate. The results are based on earlier work of the author and on properties of stochastically ordered distributions that are developed in the paper. The case of a linear holding cost and a linear storage cost is studied in detail. (Author)
2 editions published in 1965 in English and held by 2 WorldCat member libraries worldwide
A multiperiod single product nonstationary inventory problem is studied in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has the following features. There are several classes of demand for the product in each period. The demands in different periods are independent but not necessarily identically distributed. The cost structure is nonstationary with the ordering cost being proportional to the amount ordered. Conditions are given that ensure that the base stock ordering policy is optimal and that the base stock levels in each period are easy to calculate. The results are based on earlier work of the author and on properties of stochastically ordered distributions that are developed in the paper. The case of a linear holding cost and a linear storage cost is studied in detail. (Author)
Mathematics of the decision sciences [by] George B. Dantzig and Arthur F. Veinott, Jr by 5th, Stanford University Summer Seminar on the Mathematics of the Decision Sciences(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
Mathematics of the decision sciences. Pt. 1(
Book
)
2 editions published between 1968 and 1970 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1968 and 1970 in English and held by 2 WorldCat member libraries worldwide
Minimum concave cost solution of leontief substitution models of multifacility inventory systems by
Stanford University(
Book
)
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
The paper shows that a broad class of problems can be formulated in terms of minimizing a concave function over the solution set of a Leontief substitution system. The class includes deterministic single and multifacility economic lot size, lot size smoothing, warehousing, product assortment, batch queueing, capacity expansion, investmentconsumption, and reservoir control problems in which all cost functions are concave. For such problems the optimum occurs at an extreme point of the solution set. The extreme points are characterized in each case by using the characterization of the extreme points of the solution set of a Leontief substitution system given in a companion paper. This approach enables most existing qualitative characterizations of optimal policies for inventory models with concave costs to be obtained in a unified manner. Dynamic programming recursions for searching the extreme points to find one that is optimal are given for a number of cases. The only algorithms given are those for which the computational effort increases algebraically (instead of exponentially) with the size of the problem. (Author)
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
The paper shows that a broad class of problems can be formulated in terms of minimizing a concave function over the solution set of a Leontief substitution system. The class includes deterministic single and multifacility economic lot size, lot size smoothing, warehousing, product assortment, batch queueing, capacity expansion, investmentconsumption, and reservoir control problems in which all cost functions are concave. For such problems the optimum occurs at an extreme point of the solution set. The extreme points are characterized in each case by using the characterization of the extreme points of the solution set of a Leontief substitution system given in a companion paper. This approach enables most existing qualitative characterizations of optimal policies for inventory models with concave costs to be obtained in a unified manner. Dynamic programming recursions for searching the extreme points to find one that is optimal are given for a number of cases. The only algorithms given are those for which the computational effort increases algebraically (instead of exponentially) with the size of the problem. (Author)
Mathematics of the decision sciences. George B. Dantzig and Arthur F. Veinott ... editors. (Reprinted with corrections.) by
American Mathematical Society(
Book
)
1 edition published in 1970 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 2 WorldCat member libraries worldwide
Production planning with convex costs: a parametric study by
Stanford University(
Book
)
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
This study is concerned with the problem of choosing the amounts x sub 1, x sub 2 ..., x sub n of a single product (or aggregation of several products) to produce in each of n successive time periods 1,2 ..., n so as to minimize the total manufacturing costs over the n periods. The requirements r sub 1, r sub 2 ..., r sub n for the product occurring in periods 1,2 ..., n are assumed to be known in advance. Requirements in a period are satisfied in so far as possible from stock on hand at the beginning of the period and from production during the period. Requirements which cannot be met in this was are back logged until they can be satisfied by subsequent production
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
This study is concerned with the problem of choosing the amounts x sub 1, x sub 2 ..., x sub n of a single product (or aggregation of several products) to produce in each of n successive time periods 1,2 ..., n so as to minimize the total manufacturing costs over the n periods. The requirements r sub 1, r sub 2 ..., r sub n for the product occurring in periods 1,2 ..., n are assumed to be known in advance. Requirements in a period are satisfied in so far as possible from stock on hand at the beginning of the period and from production during the period. Requirements which cannot be met in this was are back logged until they can be satisfied by subsequent production
Optimal ordering, issuing, and disposal of inventory with known demand by
Arthur F Veinott(
)
2 editions published in 1960 in English and held by 1 WorldCat member library worldwide
2 editions published in 1960 in English and held by 1 WorldCat member library worldwide
Mathematics of the decision sciences : G.B. Dantzig and A.F. Veinott, editors(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Dantzig, George B. (George Bernard) 19142005 Author Editor
 American Mathematical Society Publisher
 Stanford University
 Strauch, Ralph E. Author
 Institute of Management Sciences
 Wagner, Harvey M.
 Rand Corporation
 United States Air Force
 STANFORD UNIV CALIF Dept. of INDUSTRIAL ENGINEERING
 Stanford University
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Alternative Names
Arthur Veinott American mathematician
Arthur Veinott Amerikaans wiskundige (19342012)
Arthur Veinott matemàtic estatunidenc
Arthur Veinott matemático estadounidense
Arthur Veinott matematico statunitense
Arthur Veinott USamerikanischer Mathematiker
Veinott, Arthur 19342012
Veinott, Arthur F.
Veinott, Arthur F. 19342012
Veinott, Pete, Jr.
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