WorldCat Identities

Veinott, Arthur F.

Overview
Works: 25 works in 81 publications in 1 language and 894 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, Other
Classifications: QA264, 519.92
Publication Timeline
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Most widely held works by Arthur F Veinott
Mathematics of the decision sciences by George B Dantzig( Book )

20 editions published between 1968 and 1970 in English and Undetermined and held by 455 WorldCat member libraries worldwide

Mathematical studies in management science by Arthur F Veinott( Book )

12 editions published in 1965 in English and held by 311 WorldCat member libraries worldwide

Mathematics of the decision sciences( Book )

6 editions published between 1968 and 1970 in English and Undetermined and held by 30 WorldCat member libraries worldwide

Mathematics of the decision sciences by George B Dantzig( Book )

6 editions published between 1968 and 1970 in English and held by 21 WorldCat member libraries worldwide

A property of sequential control processes by Ralph E Strauch( Book )

2 editions 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 state-decision 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 by George B Dantzig( Book )

3 editions published between 1968 and 1970 in English and held by 7 WorldCat member libraries worldwide

Mathematics of the decision sciences( Book )

1 edition published in 1968 in English and held by 6 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

Mathematics of the decision sciences by Summer Seminar on the Mathematics of the Decision Sciences( )

1 edition published in 1968 in English and held by 3 WorldCat member libraries worldwide

A multi-product, dynamic, nonstationary inventory problem by Arthur F Veinott( Book )

3 editions published in 1964 in English and held by 3 WorldCat member libraries worldwide

The paper is concerned with a multi-product 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)
Mathematics of the decision sciences( Book )

1 edition published in 1970 in English and held by 2 WorldCat member libraries worldwide

Optimal policy in a dynamic, single product, nonstationary inventory model with several demand classes by Arthur F Veinott( Book )

3 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)
PRODuCTION PLANNING WITH CONVEX COSTS: A PARAMETRIC STUDY by Stanford University( Book )

3 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
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

Minimum concave cost solution of leontief substitution models of multi-facility inventory systems by Arthur F Veinott( Book )

3 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 multi-facility economic lot size, lot size smoothing, warehousing, product assortment, batch queueing, capacity expansion, investment-consumption, 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)
A solution to a countable system of equations arising in Markovian decision processes by Stanford University( Book )

3 editions published in 1966 in English and held by 2 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)
The multi-armed bandit problem : decomposition and computation by Michael N Katehakis( )

1 edition published in 1987 in English and held by 1 WorldCat member library worldwide

Mathematics of the decision sciences( Book )

1 edition published in 1970 in Undetermined and held by 1 WorldCat member library worldwide

Computing optimal (s, S) inventory policies by Arthur F Veinott( Book )

3 editions published in 1964 in English and held by 1 WorldCat member library worldwide

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

 
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Alternative Names
Arthur Veinott American mathematician

Arthur Veinott Amerikaans wiskundige (1934-2012)

Arthur Veinott US-amerikanischer Mathematiker

Veinott, Arthur F.

Languages
English (72)