## An introduction to linear programming and matrix game theory |

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### Contents

THE ALGEBRAIC SIMPLEX METH0D | 8 |

PRACTICALITIES | 17 |

FURTHER ALG0RITHMS | 23 |

Copyright | |

3 other sections not shown

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0rders Attempt problems B's optimum strategy basic feasible solution basis Bj B2 Bl B2 boundary calculate closed circuits Consider constraints convex polygon corresponding cost coefficients Costs l7 l6 degeneracy degenerate solution dual dummy variables example feasible region find an initial form with respect game theory giving gradient increase inequalities initial basic feasible initial solution linear programming problem lose matrix game maximin value Maximise subject maximum minimax value Minimise mixed strategies moves negative non-negative non-zero variables obtained optimal solution payoff matrix pivot column pivot row play Bj players Problem 2.2 profit function profit line pure strategies result retailer routes row and column S0LUTI0N saddle point Shadow Costs l7 shown in Table simplex method simplex tabular slack variables standard form Stocks 50 subject to xj subtracting SUMMARY 0F CHAPTER Suppose tableau Table tabular method vertex x y z zero-sum game