A general statement of the tragedy of the commons

Although The Tragedy of the Commons is widely acclaimed, activists in environmental causes as well as professionals in ethics continue to act as if the essay had never been written. They ignore the central thesis that traditional, a priori thinking in ethics is mistaken and must be discarded. Hence the need remains to give the tragedy of the commons a more general statement—one which can convince a wide public of the correctness of its method and principles. In essence Hardin's essay is a thought experiment. Its purpose is not to make a historical statement but rather to demonstrate that tragic consequences can follow from practicing mistaken moral theories. Then it proposes a system-sensitive ethics that can prevent tragedy. The general statement of the tragedy of the commons demonstrates that an a priori ethics constructed on human-centered, moral principles and a definition of equal justice cannot prevent and indeed always supports growth in population and consumption. Such growth, though not inevitable, is a constant threat. If continual growth should ever occur, it eventually causes the breakdown of the ecosystems which support civilization. Henceforth, any viable ethics must satisfy these related requirements: (1) An acceptable system of ethics is contingent on its ability to preserve the ecosystems which sustain it. (2) Biological necessity has a veto over the behavior which any set of moral beliefs can allow or require. (3) Biological success is a necessary (though not a sufficient) condition for any acceptable ethical theory. In summary, no ethics can be grounded in biological impossibility; no ethics can require ethical behavior that ends all further ethical behavior. Clearly any ethics which tries to do so is mistaken; it is wrong.     

O(m2) ALGORITHMS FOR THE TWO AND THREE SUBLOT LOT STREAMING PROBLEM

Lot streaming is the process of splitting a job or lot into sublots to reduce its makespan on a sequence of machines. The goal in the lot streaming problem is to find the optimal size of each sublot that will minimize the makespan. The makespan is defined as the time the last sublot completes its processing on the last machine. If the sizes of these sublots are restricted to remain the same on all machines, the solution is called a consistent sublot solution. However, if the sizes of the sublots are allowed to vary, the solution is referred to as a nonconsistent or variable sublot solution. Also, if the machines must be in operation continuously from the first to the last sublot, the solution is a no idling solution. When setups are explicitly considered in the problem, there will be two cases. If setups on each machine require some portion of the first sublot be present by the machine, the problem is referred to as the attached setup time problem. If setups can be performed ahead of time before the first sublot reaches the particular machine, the corresponding problem is referred to as the detached setup problem. Finally, if the machines are allowed to be idle between the processing of sublots, the resultant solution is an intermittent idling solution. In this paper, the consistent sublot lot streaming problem with intermittent idling and no setups is discussed. The models developed also assume that the number of sublots are fixed and known. The m machine two sublot lot streaming problem is reviewed. An algorithm for the three sublot, m machine problem is derived using a network representation of the problem. The complexity of the algorithm is O (m²). Finally, using the insights from three sublot problem, a heuristic algorithm is provided for the m machine, n sublot problems. The results on the proposed heuristic are very encouraging; average percent deviation from optimal makespan is approximately at 0.76% on 155 randomly generated problems with different m and n values.     

Increasing the Effectiveness of Student Evaluation of Instructor Data through a Factor Score Comparative Report

Effective student evaluation of instructor instruments must provide norm, or comparative, data to aid interpretation. This note highlights an innovative factor score comparative report. Rather than merely reporting comparative data on individual questions items, the innovative report provides comparative percentile data on the six factors underlying our thirty-three item questionnaire. The faculty indicated overwhelming support for the new report. The note also briefly mentions three other activities that are essential for student evaluation of instructor data to improve teacher effectiveness. Our goal is to stimulate other colleges to adopt the innovative norming practice once they have validated their local evaluation instruments. College-wide improvement of teaching will occur through such do-it-yourself efforts and only decision science faculty are technically qualified to lead such efforts.