Word Count : 773

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दिया गया प्रश्न संख्याओं के स्थान पर शब्द “equation” रखे होने के कारण सीधे यह कहना संभव नहीं है कि वह दिया हुआ हल इष्टतम है या नहीं। इसलिए मैं यहाँ उस परिवहन समस्या (transportation problem) के लिए पूर्ण परीक्षण-विधि (MODI / Potential method या Stepping-Stone) और उसे लागू करके एक उदाहरण-इस्तेमाल दिखा रहा/रही हूँ — आप वही प्रक्रिया अपनी वास्तविक संख्याओं पर लागू कर सकते/सकती हैं। 1. संक्षेप में परीक्षण-विधि (MODI / potentials) — कदम दर कदम (न्यूनतम लागत हेतु) * चरण A — एक प्रारम्भिक सुसंगत (feasible) हल लें (North-West rule, Least-Cost या Vogel’s approximation)। * चरण B — इस हल में जिन कोशिकाओं में आवंटन (allocation) है उन्हें बेसिक कोशिकाएँ मानें। यदि बेसिक कोशिकाओं की संख्या $m+n-1$ से कम है तो degeneracy है — एक बहुत छोटी मात्रा $\varepsilon$ गैर-बेसिक जगह पर डालकर degeneracy ठीक करें। * चरण C — हर पंक्ति के लिए $u_i$ और प्रत्येक स्तम्भ के लिए $v_j$ _________ _________ __________ ____ _____ _________ ______ ____ ______ ______ ________.
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