In this paper we present a heuristic method, based on Lagrangian relaxation, for multilevel lot-sizing when there is a single bottleneck facility. A series of Lagrangian relaxations (one for each item in the product structure) is imbedded in a branch and bound procedure. The objective is to find...

In this note, a node elimination procedure has been suggested in case the two sequences obtained by using Townsend's (Townsend, W. 1978. The single machine problem with quadratic penalty function of completion times: A branch and bound solution. Management Sci. 24 (5) 530--534.) sufficient...

In dynamic facility location problems, one desires to select the time-staged establishment of facilities at different locations so as to minimize the total discounted costs for meeting demands specified over time at various customer locations. We formulate a particular dynamic facility location...

This paper addresses a nonpreemptive single machine scheduling problem where all jobs have a common due date and have zero ready time. The scheduling objective is to minimize mean squared deviation (MSD) of job completion times about the due date. This nonregular measure of performance is...

This paper gives optimality conditions to obtain a priori precedence relationships among some of the jobs in a single machine scheduling problem so as to curtail the enumeration while using branch-and-bound technique. The objective is to minimize a quadratic (or generalized quadratic) penalty...

This paper considers the problem of optimally locating multi-activity facilities whose activity compositions are also to be determined. It is assumed that there are fixed costs associated both with establishing facilities and with including specific activities at the locations. This problem is...

We present a greedy heuristic for the n job/1 machine scheduling problem with precedence constraints. This method is useful whenever the manager's optimization criteria is the sum of weighted or unweighted completion times, the sum of weighted or unweighted flow times, (with or without release...

The branch and bound principle has long been established as an effective computational tool for solving mixed integer linear programming problems. This paper investigates the computational feasibility of branch and bound methods in solving convex nonlinear integer programming problems. The...

This paper describes a branch and bound approach for optimizing a media selection problem, namely, to choose the best set of mailing lists to maximize audience reach. Prompted by a national retailer's interest in more effective and efficient direct mail catalogue distribution, the algorithm...

The conventional approach to the assembly line balancing problem assumes that the manufacturing methods to be used have been predetermined. However, in practice the design engineer has several alternatives available in the choice of processing, typically involving a trade-off between labor or...