The ELSP is a time-honored problem that "has been around" since 1915. It is the problem of accommodating cyclical production patterns when several products are made on a single facility. Recent contributions to its resolution resulted in either analytical approaches to a restricted problem, or...

We consider the problem of the optimal ordering schedule to satisfy a given demand pattern over a finite planning horizon when ordering must be in batches of size Q 1, with and without "setup" cost. A dynamic programming model is constructed. The number of stages are minimized through the...

We present a model for activity networks under generalized precedence relations (GPRs), discuss its temporal analysis and the issues that may arise relative to inconsistency among the specified relations and the activity durations. We also give more precise definition to the concept of...

Author's rejoinder to comments [Yen, J. Y. 1971. On elmaghraby's "the theory of networks and management science." Management Sci. 18(1, September) 84-86.] about his paper.

In this paper, both the duration and the cost of an activity are modeled as random variables, and accordingly, the cumulative cost at each time point also becomes a random variable along a project’s progress. We first present the new concept of an “alphorn of uncertainty” (AoU) to describe...

The second part of the expository paper started with Elmaghraby, S. E. 1970. The theory of networks and management science. Part I. Management Sci. 17(1, September) 1-34.