Integer Programming Models for Sales Resource Allocation

A practical conceptual framework for sales resource allocation modeling is presented in this paper. A literature review of sales resource allocation models is described in terms of this framework. The conceptual framework also lends itself to several integer programming models which may be used to address the variety of sales resource allocation decisions faced by every sales organization. A general model for sales resource allocation is developed which incorporates multiple sales resources, multiple time periods and carryover effects, non-separability, and risk. Several actual model implementations are discussed which illustrate the practical application of the integer programming models. The model implementations utilize recent advances in integer programming theory which enables sales managers and sales representatives to quickly develop and evaluate alternative sales resource allocation strategies.

[1]  W. Karush A General Algorithm for the Optimal Distribution of Effort , 1962 .

[2]  John U. Farley,et al.  Allocating Sales Force Effort with Commissions and Quotas , 1971 .

[3]  J. A. Nordin Spatial Allocation of Selling Expense , 1943 .

[4]  Leonard M. Lodish,et al.  CALLPLAN: An Interactive Salesman’s Call Planning System , 1971 .

[5]  Wei Shih A New Application of Incremental Analysis in Resource Allocations , 1974 .

[6]  Bernard O. Koopman,et al.  The Optimum Distribution of Effort , 1953, Oper. Res..

[7]  Prabhakant Sinha,et al.  The Multiple-Choice Knapsack Problem , 1979, Oper. Res..

[8]  Hanan Luss,et al.  Technical Note - Allocation of Effort Resources among Competing Activities , 1975, Oper. Res..

[9]  H. Wellman The Distribution of Selling Effort among Geographic Areas , 1939 .

[10]  Philip S. Chong,et al.  An Optimal Algorithm for Sales Representative Time Management , 1979 .

[11]  William W. Thompson,et al.  Sales Planning and Control Using Absorbing Markov Chains , 1967 .

[12]  Charles A. Beswick,et al.  Allocating Selling Effort Via Dynamic Programming , 1977 .

[13]  K. M. Mjelde The Optimality of an Incremental Solution of a Problem Related to Distribution of Effort , 1975 .

[14]  John F. Magee The Effect of Promotional Effort on Sales , 1953 .

[15]  P. H. Dawson,et al.  CHAPTER II – PRINCIPLES OF OPERATION , 1976 .

[16]  Leonard M. Lodish,et al.  Sales Territory Alignment to Maximize Profit , 1975 .

[17]  Dynamic Correction in Marketing Planning Models , 1976 .

[18]  Charles S. Tapiero,et al.  Optimal Control of Sales Force Effort in Time , 1975 .

[19]  R. E. Marsten,et al.  An Algorithm for Nonlinear Knapsack Problems , 1976 .

[20]  P. Leeflang,et al.  Building Implementable Marketing Models , 1974 .

[21]  Patrick Rivett,et al.  Principles of Operations Research , 1972 .

[22]  Andris A. Zoltners,et al.  Some Easy Postoptimality Analysis for Zero-One Programming , 1976 .

[23]  G. M. Armstrong The Schedule Model and the Salesman's Effort Allocation , 1976 .

[24]  Leonard M. Lodish,et al.  Evaluation of the Effectiveness of a Model Based Salesman's Planning System by Field Experimentation , 1977 .

[25]  R. Layton Controlling Risk and Return in the Management of a Sales Team , 1968 .

[26]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[27]  Ralph L. Day,et al.  A Management-Oriented Model for Allocating Sales Effort , 1977 .

[28]  Leonard M. Lodish,et al.  Assigning Salesmen to Accounts to Maximize Profit , 1976 .

[29]  James M. Comer ALLOCATE: A COMPUTER MODEL FOR SALES TERRITORY PLANNING , 1974 .

[30]  Russell L. Ackoff,et al.  Allocation of Sales Effort in the Lamp Division of the General Electric Company , 1956 .

[31]  John D. Kettelle,et al.  A Study of Sales Operations , 1956 .

[32]  C. Beswick,et al.  A Multistage Decision Model for Salesforce Management , 1977 .

[33]  Robert D. Buzzell Mathematical models and marketing management , 1964 .