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Decision Making & Negotiations

See the latest research, articles and faculty on the Decision Making & Negotiations Area of Expertise at Columbia Business School.

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Decision Making & Negotiations

Decision Making & Negotiations Research

Basic Cognitive Ability Measures as Predictors of Consumer Information Processing Strategies

Authors
Noel Capon and R. Davis
Date
June 1, 1984
Format
Journal Article
Journal
Journal of Consumer Research

The performance of adult females on information acquisition tasks is shown to be related to their performance on information integration tasks; both are shown to be related to basic measures of cognitive ability derived from formal operations theory.

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A multiple dispatch queueing model of police patrol operations

Authors
Linda Green
Date
June 1, 1984
Format
Journal Article
Journal
Management Science

One of the primary concerns of urban police departments is the effective use of patrol cars. In large cities, police assigned to patrol cars typically account for more than 50% of total police manpower and their allocation has become particularly crucial in light of recent fiscal cutbacks.

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Consumption and Equilibrium Interest Rates in Stochastic Production Economies

Authors
M. Suresh Sundaresan
Date
March 1, 1984
Format
Journal Article
Journal
Journal of Finance

In this paper, we analyze the behavior of equilibrium real interest rates in an identical consumer economy in which the preferences are represented by time additive logarithmic utility functions and production technologies are Cobb-Douglas with stochastic constant returns to scale. The following main results are established. (i) When there is no relative price uncertainty, it is shown that the equilibrium interest rate exhibits a mean reverting tendency. A nontrivial steady state distribution is found to exist for the equilibrium interest rate.

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Coordinated replenishments in a multi-item inventory system with compound Poisson demands

Authors
Awi Federgruen, Henri Groenevelt, and H. C. Tijms
Date
March 1, 1984
Format
Journal Article
Journal
Management Science

In many practical applications of multi-item inventory systems significant economies of scale can be exploited when coordinating replenishment orders for groups of items. This paper considers a continuous review multi-item inventory system with compound Poisson demand processes; excess demands are backlogged and each replenishment requires a lead time. There is a major setup cost associated with any replenishment of the family of items, and a minor (item dependent) setup cost when including a particular item in this replenishment. Moreover there are holding and penalty costs.

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Approximations of dynamic, multilocation production and inventory problems

Authors
Awi Federgruen and Paul Zipkin
Date
January 1, 1984
Format
Journal Article
Journal
Management Science

Consider a central depot (or plant) which supplies several locations experiencing random demands. Orders are placed (or production is initiated) periodically by the depot. The order arrives after a fixed lead time, and is then allocated among the several locations. (The depot itself does not hold inventory.) The allocations are finally received at the demand points after another lag. Unfilled demand at each location is backordered. Linear costs are incurred at each location for holding inventory and for backorders. Also, costs are assessed for orders placed by the depot.

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Computational issues in an infinite-horizon, multiechelon inventory model

Authors
Awi Federgruen and Paul Zipkin
Date
January 1, 1984
Format
Journal Article
Journal
Operations Research

Clark and Scarf [1960] characterize optimal policies in a two-echelon, two-location inventory model. We extend their result to the infinite-horizon case (for both discounted and average costs). The computations required are far easier than for the finite horizon problem. Further simplification is achieved for normal demands. We also consider the more interesting case of multiple locations at the lower echelon. We show that, under certain conditions, this problem can be closely approximated by a model with one such location.

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An efficient algorithm for computing optimal (s,S) policies

Authors
Awi Federgruen and Paul Zipkin
Date
January 1, 1984
Format
Journal Article
Journal
Operations Research

This paper presents an algorithm to compute an optimal (s,S) policy under standard assumptions (stationary data, well-behaved one-period costs, discrete demand, full backlogging, and the average-cost criterion). The method is iterative, starting with an arbitrary, given (s,S) policy and converging to an optimal policy in a finite number of iterations. Any of the available approximations can thus be used as an initial solution. Each iteration requires only modest computations. Also, a lower bound on the true optimal cost can be computed and used in a termination test.

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Allocation policies and cost approximations for multilocation inventory systems

Authors
Awi Federgruen and Paul Zipkin
Date
January 1, 1984
Format
Journal Article
Journal
Naval Research Logistics

Consider a central depot that supplies several locations experiencing random demands. Periodically, the depot may place an order for exogenous supply. Orders arrive after a fixed leadtime, and are then allocated among the several locations. Each allocation reaches its destination after a further delay. We consider the special case where the penalty-cost/holding-cost ratio is constant over the locations. Several approaches are given to approximate the dynamic program describing the problem.

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A combined vehicle routing and inventory allocation problem

Authors
Awi Federgruen and Paul Zipkin
Date
January 1, 1984
Format
Journal Article
Journal
Operations Research

We address the combined problem of allocating a scarce resource among several locations, and planning deliveries using a fleet of vehicles. Demands are random, and holding and shortage costs must be considered in the decision along with transportation costs. We show how to extend some of the available methods for the deterministic vehicle routing problem to this case. Computational results using one such adaptation show that the algorithm is fast enough for practical work, and that substantial cost savings can be achieved with this approach.

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